# Can you prove a triangle is an equilateral triangle?

## Can you prove a triangle is an equilateral triangle?

In geometry, an equilateral triangle is a triangle in which all three sides have the same length. In the familiar Euclidean geometry, an equilateral triangle is also equiangular; that is, all three internal angles are also congruent to each other and are each 60°….

Equilateral triangle
Area
Internal angle (degrees) 60°

## What must be given to construct equilateral triangle?

Equilateral triangles are easily constructed with a drawing compass, straightedge, and pencil because the 60° interior angles can be found using only the radius of a circle around the triangle (a circumscribed circle). Suppose you are given the length of one side of the required equilateral triangle.

How can you prove a triangle is an equilateral triangle quizlet?

A triangle is equilateral if and only if the triangle is equiangular . If a triangle is equiangular it means that the angles are congruent.

What is not true about equilateral triangles?

An equilateral triangle has exactly two congruent sides. equilateral triangle has to have 3 False it has exactly 3 False- a scalene triangle has no congruent sides True – a scalene triangle has no congruent sides.

### When constructing an equilateral triangle what step comes after six arcs are created on the circle?

When constructing an equilateral triangle, what step comes after six arcs are created on the circle? Connect every other intersection of an arc and the circle with a segment.

### Which figure has an Orthocenter outside the triangle quizlet?

Terms in this set (13) Point D cannot be the orthocenter because the orthocenter of an obtuse triangle is located outside the triangle.

Are isosceles triangles always acute triangles explain your reasoning?

No, isosceles triangles are not always acute. An isosceles triangle has two of its sides and internal angles being equal.

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